The DUP has insisted Sinn Fein can not dictate who they nominate to lead the party in any restored Stormont Executive.
There had been a number of reports claiming that senior members within the DUP had had enough of Foster's leadership and that a new leader is what was needed. "It is not reasonable to do so", he said. "We will vote in a post-sectarian election", Nesbitt said.
As details of Sinn Fein's electoral success emerged on Friday evening, Mr McGuinness's son again tweeted an apparent reference to his father.
But Mr Adams said: "The approach of this Secretary of State, like his predecessors, and of the British Government's general approach, illustrates perfectly that they are part of the problem". She stumbled trying to defend her oversight role in a wasteful "green energy" scheme that funneled tens of millions in subsidy payments to chicken farmers, including relatives of party figures. I believe that's a major miscalculation.
Sinn Féin dropped five, from 39 to 34. Mr Frew admitted: "We have faced hard times, this has been a brutal election, and we were always going to find it tough to keep three seats".
"I believe that Arlene and the team around her are leading us into a terribly bad decision".
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As Northern Ireland's main political parties prepare to enter discussions in a bid to restore powersharing, the Sinn Fein leader accused the UK Government of breaking past agreements aimed at stabilising the Stormont institutions.
The vote was called to resolve a political stalemate between historical rivals DUP and Sinn Fein, who will now have to begin negotiations to govern together under a power-sharing agreement struck to bring an end to civil strife in the British-ruled province.
There is a "door open" for the introduction of same-sex marriage and abortion in Northern Ireland, a Christian charity has said, following the country's latest election. Several others who voted unionist in the election and who spoke to the FT on Monday in Lisburn said the same.
Sinn Fein may even use the election result to push for a referendum on Irish unity, even though such a request is likely to be rejected.
The party's new leader in Northern Ireland, Michelle O'Neill, called the outcome "a great day for equality".
East Belfast DUP MP Gavin Robinson raised the possibility that Mrs Foster might step aside as First Minister designate until the Renewable Heat Incentive inquiry had concluded.